{"title":"论规范空间中初等算子的正交性","authors":"M. Orina, Benard Okelo, R. K. Obogi","doi":"10.48185/jmam.v4i1.505","DOIUrl":null,"url":null,"abstract":"In this note, we give a detailed survey on characterization of orthogonality of elementary operators innormed spaces. In particular, we consider these operators when they are finite and unveil new conditionswhich are necessary and sufficient for their orthogonality. Lastly, we characterize Birkhoff-James orthogonal-ity for this class of operators.","PeriodicalId":393347,"journal":{"name":"Journal of Mathematical Analysis and Modeling","volume":"38 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Orthogonality of Elementary Operators in Normed Spaces\",\"authors\":\"M. Orina, Benard Okelo, R. K. Obogi\",\"doi\":\"10.48185/jmam.v4i1.505\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this note, we give a detailed survey on characterization of orthogonality of elementary operators innormed spaces. In particular, we consider these operators when they are finite and unveil new conditionswhich are necessary and sufficient for their orthogonality. Lastly, we characterize Birkhoff-James orthogonal-ity for this class of operators.\",\"PeriodicalId\":393347,\"journal\":{\"name\":\"Journal of Mathematical Analysis and Modeling\",\"volume\":\"38 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-06-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematical Analysis and Modeling\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.48185/jmam.v4i1.505\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Analysis and Modeling","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.48185/jmam.v4i1.505","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On Orthogonality of Elementary Operators in Normed Spaces
In this note, we give a detailed survey on characterization of orthogonality of elementary operators innormed spaces. In particular, we consider these operators when they are finite and unveil new conditionswhich are necessary and sufficient for their orthogonality. Lastly, we characterize Birkhoff-James orthogonal-ity for this class of operators.
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